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The coefficient of viscosity n of a flui...

The coefficient of viscosity `n` of a fluid moving steadily between two surfaces is given by the formula, `f = nA(dV)/(dx)`
where f is the frictional force on the fluid, A is an area in the fluid and `dV//dx` is the velocity gradient inside the fluid at that area. The SI unit of viscosity coefficient `n` is given as.

A

`kgm^(-1)s^(-1)`

B

`Nm^(-2)s^(-2)`

C

Nil, it is dimensionless constant

D

newtons

Text Solution

Verified by Experts

The correct Answer is:
A
`f = eta A(dV)/(dx)`
`eta = (f)/(A).(dx)/(dV)`
Units of `eta = (N)/(m^(2)).(m)/(ms^(-1))=Nm^(-2)s`
`=(kgms^(-2))m(-2)s=kgm^(-1)s^(-1)`
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